The following simple linear regression analyzes the relationship between the number of classes students are taking (the independent variable, labeled in the following output as x[,2]) and the number of books they have in their backpack (the response) at randomly chosen times. assume all relevant assumptions are met. which of the following are correct interpretations of the slope coefficients: estimate std. error t value prolt (intercept) 1.96492 0. 59949 3.278 0. 00224 x. 2] 0.58693 0.08615 6.813 4.41e-08 select one a. each additional class a student takes is associated with about a 58.7% ncrease n the number of books in their backpack on average. b. each additional class a student takes is associated with about an additional 0.587 books in their backpack on average c. taking an additional class causes students to carry o.587 extra books with them on average. tudent's backpack is 0.587